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Tools City

Cylinder Volume Calculator

Tools City's Cylinder Volume Calculator enables you to calculate the volume of a solid quickly. Whether you want to figure how much water fits in the can, pipe, tube, coffee in your favorite mug, or even what's the volume of a drinking straw - you're in the right place.

Right / oblique full cylinder
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Tools City presents you with the best free online tool for calculating the volume of a cylinder, whether it is a Right or Oblique full cylinder or a curved cylinder.

Within clear & straightforward steps, you will be able to find the accurate value in calculating the volume of a cylinder. This tool will save you from complex and tiresome mathematics calculations.

However, if you want to try manually, you don't need to worry; we have also defined the formulas for different categories and simple examples so that you can easily understand them.

How can I use this tool?

  • Choose the desired ‘Cylinder Type’ from the given dialogue box.
  • Enter the values you already have.
  • The tool is now ready to provide you with results.

You can change the measurement units:

  • millimeters (mm)
  • centimeters (cm)
  • meters (m)
  • kilometers (km)
  • inches (in)
  • feet (ft)
  • yards (yd)
  • miles (mi)

If you want to clear the results and entries to write other values, you can click on ‘Reset.’

How to calculate the volume of a cylinder?

It is pertinent to state here that to calculate the volume of a cylinder, you must know its definition.

A cylinder can be expressed as any solid figure with straight parallel sides and an oval cross-section—for example, Toilet paper rolls, plastic cold drink cans, gas cylinders, pipes.

The formula for measuring the volume of a cylinder is given below:

Cylinder Volume = π × Cylinder Radius × Cylinder Height

The two parameters, radius, and height are essential to know while calculating the volume of a cylinder.

However, the above formula is used for calculating the volume of a simple cylinder for the sake of understanding only.

The volume of a Hollow Cylinder

What is a Hollow Cylinder?

A cylinder that is empty on the inside and has a variation in radius between the internal and external radii is called Hollow Cylinder—for example, drinking straw, tubes, circular buildings.

What is the formula to calculate the volume of a Hollow Cylinder?

The formula for calculating the volume of a Hollow Cylinder is given below:

Cylinder Volume = π × h × (D2 - d2) / 4

Where:

h = Height of a Cylinder

D = Diameter of the External Cylinder

d = Diameter of the Internal Cylinder

Example:

If the height of a Hollow Cylinder is 5 cm, its external diameter is 2.3 cm, and its internal diameter is 2 cm, then calculate its volume.

The formula that we will use here is:

Cylinder Volume = π × h × (D2 - d2) / 4

By putting the values given:

V = 3.14 × 5 × ((2.3)2 – (2)2) / 4

V = 15.7 (5.29-4) / 4

V = 20.253 / 4

V = 5.06 cm3

Volume of an Oblique full Cylinder

What is an Oblique full Cylinder?

A cylinder whose two ends are not directly aligned to each other is known as a Right or Oblique Cylinder.

The ends of an oblique cylinder are parallel to each other, but the sides bend over at an angle that is not 90°. If they are at right angles to the ends, it is pointed to as a right cylinder. The most common example of an oblique cylinder is a soup can. 

What is the formula to calculate the volume of a Right / Oblique full Cylinder?

The formula that is used to calculate the volume of an Oblique full Cylinder is:

Cylinder Volume = π × h × r2

Where

h = Height of the Cylinder

r = Radius of the Cylinder

Example:

If the height of a soup can is 8 cm and its diameter is 5 cm, then what will be its volume.

As we can estimate that a soup can is an oblique cylinder, therefore, we will use the volume formula for an oblique cylinder:

Cylinder Volume = π × h × r2

V = 3.14 × 8 × 52

V = 25.12 × 25

V = 628 cm3